3 papers
math.CO2024
-Whittaker polynomials: bases, branching and direct limits
Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath
We study -Whittaker polynomials and their monomial expansions given by the fermionic formula, the inv statistic of Haglund-Haiman-Loehr and the quinv statistic of Ayyer-Mandelsh…
math.CO2024
Bijections between different combinatorial models for -Whittaker and modified Hall-Littlewood polynomials
T V Ratheesh
We consider the monomial expansion of the -Whittaker and modified Hall-Littlewood polynomialsarising from specialization of the modified Macdonald polynomial. The two combinator…
math.CO2023
Monomial expansions for -Whittaker and modified Hall-Littlewood polynomials
Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath
We consider the monomial expansion of the -Whittaker polynomials given by the fermionic formula and via the inv and quinv statistics. We construct bijections between the paramet…